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Construction of solutions for nonintegrable systems with the help of the Painleve testстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Дата последнего поиска статьи во внешних источниках: 12 ноября 2013 г.
- Автор: Vernov S.Y.
- Сборник: COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS
- Серия: Lecture Notes in Computer Science
- Том: 3039
- Год издания: 2004
- Издательство: SPRINGER-VERLAG BERLIN
- Местоположение издательства: HEIDELBERGER PLATZ 3, BERLIN, GERMANY,D-14197
- Первая страница: 382
- Последняя страница: 387
- Аннотация: The generalized Henon-Heiles system with an additional nonpolynomial term has been considered. In two nonintegrable cases with the help of the Painleve test new special solutions have been found as converging Laurent series, depending on three parameters. For some values of these parameters the obtained Laurent series coincide with the Laurent series of the known elliptic solutions. The calculations have been made with use of computer algebra system REDUCE. The obtained local solutions can assist to find the elliptic three parameters solutions. The corresponding algorithm has been realized in REDUCE and Maple.
- Добавил в систему: Вернов Сергей Юрьевич